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2 years ago

A cube shaped container has an edge length of 2/3 feet what is the volume of the container

1 answer:

3 0

To find the volume, you cube the edges.
So make it easier, you can cube the numerator and then the denominator.
2*2=4*2=8
3*3=9*3=27
8/27
You cannot simplify it any more.
The volume of the container is 8/27 feet cubes.

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What is the value of x?

Juliette [100K]

Answer:

Step-by-step explanation:

The triangle is split into two similar triangles. They have the same shape but not the same size. To solve, write a proportion to find KY.

$\frac{95.2}{168}=\frac{34}{KY}$

Cross multiply to solve for KY.

95.2(KY) = 168(34)

95.2KY = 5,712

KY = 60

Add KY to 34 to find x.

60 + 34 = 94.

4 0

3 years ago

Given the sequence in the table below, determine the sigma notation of the sum for term 4 through term 15

goblinko [34]

$a_n=5 \ for \ n=1 \\
a_n=-10 \ for \ n=2 \\
a_n=20 \ for \ n=3$

You can see it's a geometric sequence because the ratio is constant ( $\frac{a_3}{a_2}=\frac{a_2}{a_1}$ ).
The nth term of a geometric sequence:
$a_n=a_1 \times r^{n-1}$

$a_1=5 \\
r=\frac{a_2}{a_1}=\frac{-10}{5}=-2 \\ \\
a_n=5(-2)^{n-1}$

It has to be the sum for term 4 through term 15, so n=4 and the number above the sigma is 15.

Your answer:
$\sum^{15}_{n=4} 5(-2)^{n-1}$

3 0

3 years ago

Read 2 more answers

Find the sum of all the integers between -14 to 8<br><br>I will make you brainlest !!

frutty [35]

Step-by-step explanation:

Hangg on.

There is a square root of -14 & 84.

5 0

2 years ago

find the least perfect square that is exactly divisible by each of the numbers 5 , 18 , 25 and 27 .

Dimas [21]

<h3>☂︎ Answer :- </h3>

8100

<h3>☂︎ Solution :- </h3>

LCM of 5 , 18 , 25 and 27 = 2 × 3³ × 5²
2 and 3 have odd powers . To get a perfect square, we need to make the powers of 2 and 3 even . The powers of 5 is already even .

In other words , the LCM of 5 , 18 , 25 and 27 can be made a perfect square if it is multiplied by 2 × 3 .

The least perfect square greater that the LCM ,

☞︎︎︎ 2 × 3³ × 5² × 2 × 3

☞︎︎︎ 2² × 3⁴ × 5²

☞︎︎︎ 4 × 81 × 85

☞︎︎︎ 100 × 81

☞︎︎︎ 8100

8100 is the least perfect square which is exactly divisible by each of the numbers 5 , 18 , 25 , 27 .

7 0

2 years ago

A sale person is given a choice of two salary plans 1weekly salary of $500 plus 4%commission of sale plan 2 is a straight commis

DedPeter [7]

Answer:

$12500

Step-by-step explanation:

Given that:

Salary plan 1:

Weekly salary of $500.

And a commission of 4%.

Salary plan 2:

Straight commission of 8%.

To find:

Weekly sales for which both the plans will make the same sales?

Solution:

Let the weekly sales = $ $x$

As per question statement:

Salary as per Plan 1 = $500 + 4% of $x$

Salary as per Plan 2 = 8% of $x$

Putting both the salaries to equal to find the total weekly sales.

$500 + 4% of $x$ = 8% of $x$

$\Rightarrow 500 = 4\%\ of\ x\\\Rightarrow 500 = \dfrac{4}{100}x\\\Rightarrow x = \$12500$

Therefore, the answer is:

For the sales of $12500, the salary will be same from both the plans.

4 0

2 years ago